You need to put one point into each new skill that you gain as you level in order to be able to use that skill. Other than that nothing is crucial.
You can max your weapon skills pretty easily just by occassionally switching out your weapons and as a warrior its wise to keep all weapons skills high other than hand to hand. Because of this I would save training points for easily skilling up tradeskills. At higher levels after velious you might want to try to do some quests that require certain tradeskills and skilling them up as a warrior is very tedious.
http://wiki.project1999.com/Warrior#Skills